Cesàro-Hardy operators on L^p[0,1] are subordinated to weighted Koopman semigroups whose generator spectra yield the operators' fine spectrum, with new results on invariant subspaces and universality of translations.
The fine spectrum of the Ces` aro operator inlp (1<p<∞)
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Ces\`aro-Hardy operators on $L^p[0,1]$: fine spectrum, weighted Koopman semigroups and invariant subspaces
Cesàro-Hardy operators on L^p[0,1] are subordinated to weighted Koopman semigroups whose generator spectra yield the operators' fine spectrum, with new results on invariant subspaces and universality of translations.